In a market research study, members of a consumer test panel are asked to rate t
ID: 2909649 • Letter: I
Question
In a market research study, members of a consumer test panel are asked to rate the visual appeal (on a 1 to 10 scale) of the texture of dashboard plastic trim in a mockup of a new fuel cell car. The manufacturer is testing four finish textures. Panelists are assigned randomly to evaluate each texture. The test results are shown below. Each cell shows the average rating by panelists who evaluated each texture. Research question: Is mean rating affected by age group and/or by surface type?
Mean Ratings of Dashboard Surface Texture
(a-1) Which type of ANOVA model should be used?
(a-2) Choose the correct row-effect hypotheses.
(a-3) Choose the correct column-effect hypotheses.
(b) Fill in the missing data. (Round your SS values to 3 decimal places, F values to 2 decimal places, and other answers to 4 decimal places.)
(c) Choose the correct statement.
Mean Ratings of Dashboard Surface Texture
Age Group Shiny Satin Pebbled Pattern Youth (under 21) 6.7 6.6 5.5 4.3 Adult (21 to 39) 5.5 5.3 6.2 5.9 Middle-Age (40 to 61) 4.5 5.1 6.7 5.5 Senior (62 and over) 3.9 4.5 6.1 4.1
Explanation / Answer
a-1)Two factor without replication
a-2)
H0: A1 = A2 = A3 = 0 Age group means are the same
H1: Not all the Aj are equal to zero Age group means differ
a-3)
H0: B1 = B2 = B3 = 0
H1: Not all the Bk are equal to zero
b)
applying ANOVA:
c)
The texture is not significantly affected by age group or by surface type.
SUMMARY mean n std deviaiton Shiny 5.1500 4 1.2261 Satin 5.3750 4 0.8846 Pebbled 6.1250 4 0.4924 Pattern 4.9500 4 0.8851 0.0000 Youth (under 21) 5.7750 4 1.1236 Adult (21 to 39) 5.7250 4 0.4031 Middle-Age (40 to 61) 5.4500 4 0.9292 Senior (62 and over) 4.6500 4 0.9983Related Questions
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